Search a number
-
+
16204104 = 2333721531
BaseRepresentation
bin111101110100…
…000101001000
31010111020212000
4331310011020
513122012404
61335151000
7254506200
oct75640510
933436760
1016204104
119168424
125515460
133484737
14221b400
151651339
hexf74148

16204104 has 96 divisors (see below), whose sum is σ = 52394400. Its totient is φ = 4626720.

The previous prime is 16204099. The next prime is 16204129. The reversal of 16204104 is 40140261.

16204104 is a `hidden beast` number, since 1 + 620 + 41 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9819 + ... + 11349.

It is an arithmetic number, because the mean of its divisors is an integer number (545775).

Almost surely, 216204104 is an apocalyptic number.

16204104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16204104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26197200).

16204104 is an abundant number, since it is smaller than the sum of its proper divisors (36190296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16204104 is a wasteful number, since it uses less digits than its factorization.

16204104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 16204104 is about 4025.4321507138. The cubic root of 16204104 is about 253.0511647473.

Adding to 16204104 its reverse (40140261), we get a palindrome (56344365).

The spelling of 16204104 in words is "sixteen million, two hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1531 1764 2646 3062 3528 4593 5292 6124 9186 10584 10717 12248 13779 18372 21434 27558 32151 36744 41337 42868 55116 64302 75019 82674 85736 96453 110232 128604 150038 165348 192906 225057 257208 289359 300076 330696 385812 450114 578718 600152 675171 771624 900228 1157436 1350342 1800456 2025513 2314872 2700684 4051026 5401368 8102052 16204104